English

De Rham cohomology of rigid spaces

Algebraic Geometry 2014-08-15 v1 Number Theory

Abstract

We define de Rham cohomology groups for rigid spaces over non-archimedean fields of characteristic zero, based on the notion of dagger space. We establish some functorial properties and a finiteness result, and discuss the relation to the rigid cohomology as defined by P. Berthelot.

Keywords

Cite

@article{arxiv.1408.3330,
  title  = {De Rham cohomology of rigid spaces},
  author = {Elmar Grosse-Klönne},
  journal= {arXiv preprint arXiv:1408.3330},
  year   = {2014}
}